The Sky Blues made an offer for the left-winger in January and Chris Coleman is still thought to be interested in signing the 21-year-old.
However, Hearts' excellent season under Csaba Laszlo - they are third in the SPL - has left Driver thinking of better times ahead at Tynecastle.
"I'm signed for four years so I don't think anything other than that," said Driver. "Until the day comes when someone says you have got to move or an offer has been accepted, that's when you think about it.
"I'm happy here on a long contract. We have shown this year we can make something of ourselves and it would be a shame to move away and miss out on that.
"The way the team has evolved, it's something you want to stay and be involved in."